Interpret Slope and Y-Int

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

In the function y = 0.25x + 5, what does the variable x represent?

Back

The variable x represents the number of songs the customer downloads each month.

Front

In the equation y = mx + b, which letter represents the slope?

Back

The letter m represents the slope.

Front

What does a positive slope indicate in a real-world context?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate in a real-world context?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How do you interpret the slope in a cost function?

Back

The slope indicates how much the total cost increases or decreases with each additional unit purchased.

Front

If the slope of a line is 2, what does this mean in a practical scenario?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept shows the initial value of the dependent variable before any changes occur.

Front

How can you find the slope from two points on a graph?

Back

The slope can be calculated using the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.